Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720t |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-315394560000 = -1 · 212 · 36 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3852,95904] |
[a1,a2,a3,a4,a6] |
Generators |
[18:180:1] |
Generators of the group modulo torsion |
j |
-2116874304/105625 |
j-invariant |
L |
5.2591112274132 |
L(r)(E,1)/r! |
Ω |
0.95607372359591 |
Real period |
R |
0.34379613580119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18720bl2 37440bt1 2080b2 93600ec2 |
Quadratic twists by: -4 8 -3 5 |